197728160 has 96 divisors (see below), whose sum is σ = 544102272. Its totient is φ = 66493440.

The previous prime is 197728159. The next prime is 197728163. The reversal of 197728160 is 61827791.

It is not an unprimeable number, because it can be changed into a prime (197728163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57695 + ... + 61025.

It is an arithmetic number, because the mean of its divisors is an integer number (5667732).

Almost surely, 2^197728160 is an apocalyptic number.

197728160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272051136).

197728160 is an abundant number, since it is smaller than the sum of its proper divisors (346374112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197728160 is a wasteful number, since it uses less digits than its factorization.

197728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 197728160 is about 14061.5845479804. The cubic root of 197728160 is about 582.5808099496.

The spelling of 197728160 in words is "one hundred ninety-seven million, seven hundred twenty-eight thousand, one hundred sixty".